2259564 has 48 divisors (see below), whose sum is σ = 5617920. Its totient is φ = 705600.

The previous prime is 2259557. The next prime is 2259571. The reversal of 2259564 is 4659522.

2259564 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2259557) and next prime (2259571).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14889 + ... + 15039.

It is an arithmetic number, because the mean of its divisors is an integer number (117040).

2^2259564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808960).

2259564 is an abundant number, since it is smaller than the sum of its proper divisors (3358356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2259564 is a wasteful number, since it uses less digits than its factorization.

2259564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 228 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 2259564 is about 1503.1846193998. The cubic root of 2259564 is about 131.2224722314. Note that the first 3 decimals are identical.

The spelling of 2259564 in words is "two million, two hundred fifty-nine thousand, five hundred sixty-four".